6000932880 has 480 divisors, whose sum is σ = 21987164160. Its totient is φ = 1463132160.

The previous prime is 6000932831. The next prime is 6000932891. The reversal of 6000932880 is 882390006.

It is a super-2 number, since 2×6000932880² = 72022390860530188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47251377 + ... + 47251503.

It is an arithmetic number, because the mean of its divisors is an integer number (45806592).

Almost surely, 2^6000932880 is an apocalyptic number.

6000932880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6000932880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10993582080).

6000932880 is an abundant number, since it is smaller than the sum of its proper divisors (15986231280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6000932880 is a wasteful number, since it uses less digits than its factorization.

6000932880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6000932880 is about 77465.6884046092. The cubic root of 6000932880 is about 1817.2147632550.

The spelling of 6000932880 in words is "six billion, nine hundred thirty-two thousand, eight hundred eighty".